Match twice and stitch: a new TSP tour construction heuristic

  • Authors:
  • Andrew B Kahng;Sherief Reda

  • Affiliations:
  • UCSD Computer Science & Engineering Department, 9500 Gilman Drive, MS 0114, La Jolla, CA 92093-0114, USA;UCSD Computer Science & Engineering Department, 9500 Gilman Drive, MS 0114, La Jolla, CA 92093-0114, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2004

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Abstract

We present a new symmetric traveling salesman problem tour construction heuristic. Two sequential matchings yield a set of cycles over the given point set; these are then stitched to form a tour. Our method outperforms all previous tour construction methods, but is dominated by several tour improvement heuristics.